Bernoulli process
Noun
Meaning
Bernoulli process (plural Bernoulli processes)
(statistics) A series of independent trials, analogous to repeatedly flipping a coin to determine whether it is fair.
Synonyms
Examples
A Bernoulli process is a discrete time process, and so the number of trials, failures, and successes are integers.
In that case, and Occurrence Waiting time in a Bernoulli process For the special case where r is an integer, the negative binomial distribution is known as the Pascal distribution.
For instance, coin tossing is, in principle, a deterministic process; yet it is commonly modeled as stochastic (via a Bernoulli process ).
In theory, the exact distribution of the maximum can be derived: : The associated indicator function is a Bernoulli process with a success probability that depends on the magnitude of the extreme event.